Authors:
Héctor J. Sussmann,
Michael A. Malisoff,
Volume: 1, Page 2308 Paper number 1991
Abstract:
A class of deterministic exit time optimal control problems is studied
using the dynamic programming approach. The value functions of these
problems are shown to be the unique viscosity solutions of the corresponding
Bellman equations that satisfy appropriate side conditions. The results
are applied to Fuller's Problem, whose value function is shown to be
the unique solution of the corresponding Bellman equation which is
null at the origin and bounded below.
Authors:
Petros G. Voulgaris,
Volume: 1, Page 2311 Paper number 1141
Abstract:
In this paper we present an input-output point of view of certain optimal
control problems with constraints on the processing of the measurement
data. In particular, we consider norm minimization optimal control
problems under the so-called one-step delay observation sharing pattern.
We present a Youla parametrization approach that leads to their solution
by converting them to nonstandard, yet convex, model matching problems.
This conversion is always possible whenever the part of the plant that
relates controls to measurements possesses the same structure in its
feedthrough term with the one imposed by the observation pattern on
the feedthrough term of the controller, i.e., (block-)diagonal. When
that is not the case, it amounts to the so-called non-classical information
pattern problems. For the H_(infinity) case, using loop-shifting ideas,
a simple sufficient condition is given under which the problem can
be still converted to a convex, model matching problem. We also demonstrate
that there are several nontrivial classes of problems satisfying this
condition. Finally, we extend these ideas to the case of a N-step
delay observation sharing pattern.
Authors:
Christophe Prieur,
Pascale Bendotti,
Laurent El-Ghaoui,
Volume: 1, Page 2317 Paper number 1288
Abstract:
An optimization-based control technique is developed to defining feasible
input trajectories with respect to operating constraints. The proposed
approach is based on the construction of a semidefinite programming
(SDP) problem equivalent to the constrained control problem. When
the system is subject to structured uncertainty, the nominal SDP problem
is extended to account for uncertain parameters evolving in a certain
ellipsoidal set.
Authors:
Guojiang Zhang,
Yao Yu,
Volume: 1, Page 2323 Paper number 1426
Abstract:
The classical control method depends on the experiences of project
designers and is based on classical design of servo-system. One optimum
method which is designed to solve the problem of classical control
system design is proposed. This paper presents an optimum performance
index function about order and parameters of lead-link and also approves
the existence of solution. Finally, an application is given to certify
the effectiveness of the method.
1426_01.PDF
(was: CDC00_REG1426.PDF)
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Authors:
Myo-Taeg Lim,
Beom-Soo Kim,
Volume: 1, Page 2329 Paper number 9205
Abstract:
This paper introduces the definition of the nonstandard linear discrete-time
singularly perturbed system and shows how to solve the corresponding
linear-quadratic optimal control problem since the methodology that
exists in the literature for the solution of the standard singularly
perturbed discrete linear quadratic optimal control problem can not
be extended to the corresponding nonstandard counterpart. The solution
of the optimal control problem is obtained in terms of the pure-slow
and pure-fast, reduced-order, continuous-time, algebraic Riccati equations.
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